Answer: 1 5/9 (one and five-ninths)
Answer:
No bcuz its not on the line
Step-by-step explanation:
700 stock market is worse than gain
We want to find the value that makes
![P(X\ge x)=0.2](https://tex.z-dn.net/?f=P%28X%5Cge%20x%29%3D0.2)
To find it we must look at the standard normal table, using the complementary cumulative table we find that
![P(Z\ge z)=0.20045\Leftrightarrow z=0.84](https://tex.z-dn.net/?f=P%28Z%5Cge%20z%29%3D0.20045%5CLeftrightarrow%20z%3D0.84)
Then, using the z-score we can find the minimum score needed, remember that
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
Where
σ = standard deviation
μ = mean
And in our example, x = minimum score needed, therefore
![\begin{gathered} 0.84=\frac{x-480}{105} \\ \\ x=0.84\cdot105+480 \\ \\ x=568.2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%200.84%3D%5Cfrac%7Bx-480%7D%7B105%7D%20%5C%5C%20%20%5C%5C%20x%3D0.84%5Ccdot105%2B480%20%5C%5C%20%20%5C%5C%20x%3D568.2%20%5Cend%7Bgathered%7D)
Rounding to the nearest integer the minimum score needed is 568, if you get 568 you are at the top 20.1%.